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Finding the Fourth Proportional to 106,267.19, 159,322.41 and 35,164.17

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Solution

The fourth proportional to 106,267.19, 159,322.41 and 35,164.17 is: 52,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,267.19 : 159,322.41 = 35,164.17 : x
  2. Step 2: Convert to fraction form
    106,267.19/159,322.41 = 35,164.17/x
  3. Step 3: Cross multiply
    106,267.19x = 159,322.41 × 35,164.17
  4. Step 4: Simplify right side
    106,267.19x = 5,602,440,310.05
  5. Step 5: Solve for x
    x = 5,602,440,310.05/106,267.19
  6. Step 6: Final answer
    x = 52,720.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.